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2030334432240 = 2435192447181957
BaseRepresentation
bin11101100010111001010…
…111001101001111110000
321012002122111102200010110
4131202321113031033300
5231231111103312430
64152420041101320
7266454402632022
oct35427127151760
97162574380113
102030334432240
117130729467a4
122895aaa87840
131195c8cc176a
14703a94b2012
1537c311677b0
hex1d8b95cd3f0

2030334432240 has 160 divisors (see below), whose sum is σ = 6628045777920. Its totient is φ = 512714161152.

The previous prime is 2030334432209. The next prime is 2030334432289. The reversal of 2030334432240 is 422344330302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2030334432198 and 2030334432207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11067342 + ... + 11249298.

It is an arithmetic number, because the mean of its divisors is an integer number (41425286112).

Almost surely, 22030334432240 is an apocalyptic number.

2030334432240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030334432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314022888960).

2030334432240 is an abundant number, since it is smaller than the sum of its proper divisors (4597711345680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2030334432240 is a wasteful number, since it uses less digits than its factorization.

2030334432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184439 (or 184433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 2030334432240 its reverse (422344330302), we get a palindrome (2452678762542).

The spelling of 2030334432240 in words is "two trillion, thirty billion, three hundred thirty-four million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2447 4560 4894 7341 9788 12235 14682 19576 24470 29364 36705 39152 46493 48940 58728 73410 92986 97880 117456 139479 146820 181957 185972 195760 232465 278958 293640 363914 371944 464930 545871 557916 587280 697395 727828 743888 909785 929860 1091742 1115832 1394790 1455656 1819570 1859720 2183484 2231664 2729355 2789580 2911312 3457183 3639140 3719440 4366968 5458710 5579160 6914366 7278280 8733936 10371549 10917420 11158320 13828732 14556560 17285915 20743098 21834840 27657464 34571830 41486196 43669680 51857745 55314928 69143660 82972392 103715490 138287320 165944784 207430980 276574640 414861960 445248779 829723920 890497558 1335746337 1780995116 2226243895 2671492674 3561990232 4452487790 5342985348 6678731685 7123980464 8459726801 8904975580 10685970696 13357463370 16919453602 17809951160 21371941392 25379180403 26714926740 33838907204 35619902320 42298634005 50758360806 53429853480 67677814408 84597268010 101516721612 106859706960 126895902015 135355628816 169194536020 203033443224 253791804030 338389072040 406066886448 507583608060 676778144080 1015167216120 2030334432240